21013941715200 has 1728 divisors, whose sum is σ = 89850760294400. Its totient is φ = 4765540884480.

The previous prime is 21013941715199. The next prime is 21013941715343. The reversal of 21013941715200 is 251714931012.

It is a happy number.

21013941715200 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 39 + 417 + 1 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×21013941715200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13618885629 + ... + 13618887171.

Almost surely, 2^{21013941715200} is an apocalyptic number.

21013941715200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013941715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44925380147200).

21013941715200 is an abundant number, since it is smaller than the sum of its proper divisors (68836818579200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21013941715200 is an equidigital number, since it uses as much as digits as its factorization.

21013941715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 21013941715200 in words is "twenty-one trillion, thirteen billion, nine hundred forty-one million, seven hundred fifteen thousand, two hundred".